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131122818 = 23226992
BaseRepresentation
bin1111101000011…
…00011010000010
3100010201201200200
413310030122002
5232031412233
621002230030
73151345161
oct764143202
9303651620
10131122818
1168019572
1237ab5316
132121c888
14135b33d8
15b7a1313
hex7d0c682

131122818 has 18 divisors (see below), whose sum is σ = 284204739. Its totient is φ = 43691412.

The previous prime is 131122807. The next prime is 131122841. The reversal of 131122818 is 818221131.

It can be written as a sum of positive squares in only one way, i.e., 65561409 + 65561409 = 8097^2 + 8097^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=8097.

It is a super-2 number, since 2×1311228182 = 34386386800522248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131122791 and 131122800.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 47233 + ... + 49931.

Almost surely, 2131122818 is an apocalyptic number.

131122818 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

131122818 is an abundant number, since it is smaller than the sum of its proper divisors (153081921).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131122818 is an frugal number, since it uses more digits than its factorization.

131122818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5406 (or 2704 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 131122818 is about 11450.8872145350. The cubic root of 131122818 is about 508.0339763788.

Adding to 131122818 its reverse (818221131), we get a palindrome (949343949).

The spelling of 131122818 in words is "one hundred thirty-one million, one hundred twenty-two thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 18 2699 5398 8097 16194 24291 48582 7284601 14569202 21853803 43707606 65561409 131122818